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Initial data commit

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Ingy döt Net 2023-07-01 11:58:00 -04:00
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Task/Euler-method/Haskell/euler-method-2.hs Normal file
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-- 1-st order Euler
euler f x (t1,t2) = x + (t2 - t1) * f t1 x
-- 2-nd order Runge-Kutta
rk2 f x (t1,t2) = x + h * f (t1 + h/2) (x + h/2*f t1 x)
where h = t2 - t1
-- 4-th order Runge-Kutta
rk4 f x (t1,t2) = x + h/6 * (k1 + 2*k2 + 2*k3 + k4)
where k1 = f t1 x
k2 = f (t1 + h/2) (x + h/2*k1)
k3 = f (t1 + h/2) (x + h/2*k2)
k4 = f (t1 + h) (x + h*k3)
h = t2 - t1